@Update (Shopware 6.6.x)

const profileTypes = {
    IMPORT: 'import',
    EXPORT: 'export',
    IMPORT_EXPORT: 'import-export',
};

Shopware.Component.override('sw-import-export-edit-profile-general', {
    computed: {
        supportedEntities() {
            const supportedEntities = this.$super('supportedEntities');
            supportedEntities.push(
                {
                    value: 'your_entity',
                    label: "your_label",
                    type: profileTypes.IMPORT_EXPORT,
                }
            );
            
            return supportedEntities;
        }
    }
});